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Finding the Third Proportional to 420,174 and 566,106

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Solution

The third proportional to 420,174 and 566,106 is: 762,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,174 : 566,106 = 566,106 : x
  2. Step 2: Convert to fraction form
    420,174/566,106 = 566,106/x
  3. Step 3: Cross multiply
    420,174x = 566,106 × 566,106
  4. Step 4: Simplify right side
    420,174x = 320,476,003,236
  5. Step 5: Solve for x
    x = 320,476,003,236/420,174
  6. Step 6: Final answer
    x = 762,722.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.